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106256210313 = 31123139995007
BaseRepresentation
bin110001011110101011…
…1010001100110001001
3101011021011210202101210
41202331113101212021
53220103042212223
6120451411203333
710451061612501
oct1427527214611
9334234722353
10106256210313
1141076951550
1218714ba6549
13a0349b3836
1451ddcc4a01
152b6d5d1893
hex18bd5d1989

106256210313 has 16 divisors (see below), whose sum is σ = 161274249216. Its totient is φ = 61597802640.

The previous prime is 106256210293. The next prime is 106256210317. The reversal of 106256210313 is 313012652601.

It is not a de Polignac number, because 106256210313 - 213 = 106256202121 is a prime.

It is a super-2 number, since 2×1062562103132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106256210317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69996745 + ... + 69998262.

It is an arithmetic number, because the mean of its divisors is an integer number (10079640576).

Almost surely, 2106256210313 is an apocalyptic number.

It is an amenable number.

106256210313 is a deficient number, since it is larger than the sum of its proper divisors (55018038903).

106256210313 is a wasteful number, since it uses less digits than its factorization.

106256210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139995044.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 106256210313 its reverse (313012652601), we get a palindrome (419268862914).

The spelling of 106256210313 in words is "one hundred six billion, two hundred fifty-six million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 3 11 23 33 69 253 759 139995007 419985021 1539945077 3219885161 4619835231 9659655483 35418736771 106256210313